In this paper we develop explicit and semi-implicit second-order high-resolution finite difference schemes for a structured coagulation-fragmentation model formulated on the space of Radon measures. We prove the convergence of each of the two schemes to the unique weak solution of the model. We perform numerical simulations to demonstrate that the second order accuracy is achieved by both schemes.

翻译：本文针对在拉东测度空间上建立的尺寸结构化凝血-破碎模型，提出了显式和半隐式二阶高分辨率有限差分格式。我们证明了两种格式均收敛于该模型的唯一弱解。通过数值模拟，我们验证了两种格式均能达到二阶精度。